设数列{b
n}满足:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183252755597744/SYS201310241832527555977018_ST/0.png)
,b
n+1=b
n2+b
n,
(1)求证:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183252755597744/SYS201310241832527555977018_ST/1.png)
;
(2)若T
n=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183252755597744/SYS201310241832527555977018_ST/2.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183252755597744/SYS201310241832527555977018_ST/3.png)
+…+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183252755597744/SYS201310241832527555977018_ST/4.png)
,对任意的正整数n,3T
n-log
2m-5>0恒成立.求m的取值范围.
考点分析:
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